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      Question

      'N' is the greatest three-digit number that gives a

      remainder of 1 when divided by 7, 8 and 9. Find the sum of digits of 'N'.
      A 20 Correct Answer Incorrect Answer
      B 28 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      ATQ, LCM of (7, 8 and 9) = 504 Largest 3-digit number divisible by 504 = 504 × 1 = 504 So, N = 504 + 1 = 505 Sum of digits of 'N' = 5 + 0 + 5 = 10

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